121410042132 has 96 divisors (see below), whose sum is σ = 305314136064. Its totient is φ = 37440691200.

The previous prime is 121410042121. The next prime is 121410042139. The reversal of 121410042132 is 231240014121.

It is a junction number, because it is equal to n+sod(n) for n = 121410042099 and 121410042108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121410042139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22987332 + ... + 22992612.

It is an arithmetic number, because the mean of its divisors is an integer number (3180355584).

Almost surely, 2^121410042132 is an apocalyptic number.

121410042132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121410042132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152657068032).

121410042132 is an abundant number, since it is smaller than the sum of its proper divisors (183904093932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121410042132 is a wasteful number, since it uses less digits than its factorization.

121410042132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8029 (or 8027 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 121410042132 its reverse (231240014121), we get a palindrome (352650056253).

The spelling of 121410042132 in words is "one hundred twenty-one billion, four hundred ten million, forty-two thousand, one hundred thirty-two".